This is not expanded on in the series just like many other rules regarding the Death Note. I believe Ohba has not commented on such things either.
My opinion is: No.
I think a photo of a person's face can qualify as "has the person's face in their mind" if (and only if?) that person's current appearance is not too far from how the person looks in one's memory or in a photo.
I doubt a baby picture of L accurately describes the current appearance of L.
A possibly relevant detail: I would say those drawings of Mello and Near would be far superior to photos of them when they were younger. Since those drawings do not work for inferring names with Shinigami Eyes, I guess childhood photos also won't work when used for inferring names with Shinigami Eyes and possibly the same for the scenario in the question.
However, if you were to kill someone (using a Death Note) who is about 13, and you last saw them when they were 11, that may work.
So who judges "not too far"? I guess whomever invented Death Notes and their rules in the first place or whomever is responsible for the Death Notes' working. As Death Note is fantasy and not scifi, I think such question will not have a precise answer.